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Simplifying 42 = -6(2y + -3) Reorder the terms: 42 = -6(-3 + 2y) 42 = (-3 * -6 + 2y * -6) 42 = (18 + -12y) Solving 42 = 18 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 42 + 12y = 18 + -12y + 12y Combine like terms: -12y + 12y = 0 42 + 12y = 18 + 0 42 + 12y = 18 Add '-42' to each side of the equation. 42 + -42 + 12y = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 12y = 18 + -42 12y = 18 + -42 Combine like terms: 18 + -42 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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